Hyperfactored of Reflection Arrangement A�(G_25 )

Raneen sabah haraj, Rabeaa AL-Aleyawee

Abstract


The purpose of this paper is to study the hyperfactored of the complex reflection arrangement
A(G 25 ). Depending on the lattice of arrangement A(G 25 ), the basis of A(G 25 ) has been found
and then partitioned. Also, showed that A(G 25 ) is not hyperfactored and is not inductively
factored.

Keywords


the complex reflection arrangement(C.R.A), Nice partition(N.A), Factored arrangement(F.A)

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References


R. Al-Aleyawee, Hypersolvable and Free Arrangements. Ph.D. Thesis, College of science, Mustansiriyah University, (2005).

P. Orlik and H. Terao, Arrangement of Hyperplanes. Grundlehren Math. Wiss. vol.300, Springer-Verlag Berlin, (1992).

[Crossref]

M. Jambu and L. Paris, Combinatorics of Inductively Factored Arrangements. Euroup. J. Combinatorics, 16, 267-292, (1995).

[Crossref]

T. Hoge and G. Rohle, Nice Reflection Arrangements. Math.GR, (2015).




DOI: http://dx.doi.org/10.23851/mjs.v30i3.656

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